5325336213561 has 243 divisors, whose sum is σ = 9906042828591. Its totient is φ = 2747492250048.

The previous prime is 5325336213559. The next prime is 5325336213563. The reversal of 5325336213561 is 1653126335235.

It is a happy number.

The square root of 5325336213561 is 2307669.

It is a perfect power (a square), and thus also a powerful number.

5325336213561 is a `hidden beast` number, since 5 + 3 + 2 + 53 + 36 + 2 + 1 + 3 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (5325336213559) and next prime (5325336213563).

It can be written as a sum of positive squares in only one way, i.e., 787771629225 + 4537564584336 = 887565^2 + 2130156^2 .

It is not a de Polignac number, because 5325336213561 - 2¹ = 5325336213559 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5325336213563) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 49769497270 + ... + 49769497376.

Almost surely, 2^{5325336213561} is an apocalyptic number.

5325336213561 is the 2307669-th square number.

5325336213561 is the 1153835-th centered octagonal number.

It is an amenable number.

5325336213561 is a deficient number, since it is larger than the sum of its proper divisors (4580706615030).

5325336213561 is a wasteful number, since it uses less digits than its factorization.

5325336213561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 209 counting only the distinct ones).

The product of its digits is 1458000, while the sum is 45.

The spelling of 5325336213561 in words is "five trillion, three hundred twenty-five billion, three hundred thirty-six million, two hundred thirteen thousand, five hundred sixty-one".